Orderly disorder in magic-angle twisted trilayer graphene

Magic-angle twisted trilayer graphene (TTG) has recently emerged as a platform to engineer strongly correlated flat bands. We reveal the normal-state structural and electronic properties of TTG using low-temperature scanning tunneling microscopy at twist angles for which superconductivity has been observed. Real trilayer samples undergo a strong reconstruction of the moiré lattice, which locks layers into near–magic-angle, mirror symmetric domains comparable in size with the superconducting coherence length. This relaxation introduces an array of localized twist-angle faults, termed twistons and moiré solitons, whose electronic structure deviates strongly from the background regions, leading to a doping-dependent, spatially granular electronic landscape. The Fermi-level density of states is maximally uniform at dopings for which superconductivity has been observed in transport measurements. Description Zooming into trilayer graphene Stacking and twisting graphene layers with respect to each other can lead to exotic transport effects. Recently, superconductivity was observed in graphene trilayers in which the top and bottom layers are twisted with respect to the middle layer by the same, “magic” angle. Turkel et al. used scanning tunneling microscopy to take a closer look into the stacking structure. They found that a small misalignment between the top and bottom layers caused the lattice to rearrange itself into a pattern of triangular domains. The domains had a magic-angle twisted trilayer structure and were separated by a network of line and point defects. —JS Scanning tunneling microscopy reveals lattice reconstruction in a moire material.

[1]  A. Mostofi,et al.  Unconventional superconductivity in magic-angle twisted trilayer graphene , 2021, npj Quantum Materials.

[2]  Kenji Watanabe,et al.  Moiré nematic phase in twisted double bilayer graphene , 2021, Nature Physics.

[3]  Kenji Watanabe,et al.  Pauli-limit violation and re-entrant superconductivity in moiré graphene , 2021, Nature.

[4]  A. Yazdani Magic, symmetry, and twisted matter , 2021, Science.

[5]  P. Kim,et al.  Electric field–tunable superconductivity in alternating-twist magic-angle trilayer graphene , 2021, Science.

[6]  Kenji Watanabe,et al.  Tunable strongly coupled superconductivity in magic-angle twisted trilayer graphene , 2021, Nature.

[7]  Kenji Watanabe,et al.  Strain fields in twisted bilayer graphene , 2020, Nature Materials.

[8]  Kenji Watanabe,et al.  Visualizing delocalized correlated electronic states in twisted double bilayer graphene , 2020, Nature Communications.

[9]  Kenji Watanabe,et al.  Moiréless correlations in ABCA graphene , 2019, Proceedings of the National Academy of Sciences.

[10]  Z. Zhan,et al.  Lattice relaxation, mirror symmetry and magnetic field effects on ultraflat bands in twisted trilayer graphene , 2020, Science China Physics, Mechanics & Astronomy.

[11]  Xiaodong Xu,et al.  Electrically tunable correlated and topological states in twisted monolayer–bilayer graphene , 2020, Nature Physics.

[12]  Y. Oreg,et al.  Cascade of phase transitions and Dirac revivals in magic-angle graphene , 2019, Nature.

[13]  E. Kaxiras,et al.  Ultraheavy and ultrarelativistic Dirac quasiparticles in sandwiched graphenes. , 2020, Nano letters.

[14]  T. Taniguchi,et al.  Maximized electron interactions at the magic angle in twisted bilayer graphene , 2018, Nature.

[15]  Kenji Watanabe,et al.  Spectroscopic signatures of many-body correlations in magic-angle twisted bilayer graphene , 2019, Nature.

[16]  T. Taniguchi,et al.  Charge order and broken rotational symmetry in magic-angle twisted bilayer graphene , 2019, Nature.

[17]  Kenji Watanabe,et al.  Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene , 2019, Nature.

[18]  G. Refael,et al.  Author Correction: Electronic correlations in twisted bilayer graphene near the magic angle , 2019, Nature Physics.

[19]  M. Luskin,et al.  Energy Minimization of Two Dimensional Incommensurate Heterostructures , 2018, Archive for Rational Mechanics and Analysis.

[20]  Patrick Kofod Mogensen,et al.  Optim: A mathematical optimization package for Julia , 2018, J. Open Source Softw..

[21]  E. Kaxiras,et al.  Unconventional superconductivity in magic-angle graphene superlattices , 2018, Nature.

[22]  Pablo Jarillo-Herrero,et al.  Emergence of superlattice Dirac points in graphene on hexagonal boron nitride , 2012, Nature Physics.

[23]  R. Bistritzer,et al.  Moiré bands in twisted double-layer graphene , 2010, Proceedings of the National Academy of Sciences.

[24]  Troy Van Voorhis,et al.  Nonlocal van der Waals density functional: the simpler the better. , 2010, The Journal of chemical physics.

[25]  A. Reina,et al.  Observation of Van Hove singularities in twisted graphene layers , 2009, 0912.2102.

[26]  Philip W. Anderson,et al.  Theory of dirty superconductors , 1959 .